FRACTAL DIMENSIONS OF A POROUS CONCRETE AND ITS EFFECT ON THE CONCRETE’S STRENGTH

IF 10.1 2区工程技术 Q1 ENGINEERING, MECHANICAL

Facta Universitatis-Series Mechanical Engineering Pub Date : 2023-04-10 DOI:10.22190/fume221215005h

Chun-Hui He, Chao Liu

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引用次数: 16

Abstract

All mechanical properties of a porous medium depend upon its fractal dimensions, however, how to measure the fractal dimensions is still an open issue. This paper adopts the two-scale fractal theory to calculate fast and effectively the fractal dimensions of a porous concrete. Of the concrete's properties that have been fascinating engineers and scientists, by far the most perplexing is the effects of its porosity and pore size on concrete's strength. Though there were many ad hoc empirical formulae for predicting the strength, much deviation arose for practical applications. Here a dimensionless model and the fractal theory are adopted to insight theoretically into the effects, and for the first time ever, some physically relative and mathematically reliable formulations are proposed. Additionally nano/micro particles’ size and distribution can also be used for theoretical prediction of the concrete’s strength, it shows that the boundary-induced force occurs when the particles tend to micro/nanoscales. The present theory sheds new light on the optimal design of various functional concretes.

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多孔混凝土分形维数及其对混凝土强度的影响

多孔介质的所有力学性能都取决于其分形维数，但如何测量分形维数仍然是一个悬而未决的问题。本文采用双尺度分形理论快速有效地计算了多孔混凝土的分形维数。在让工程师和科学家们着迷的混凝土特性中，迄今为止最令人困惑的是其孔隙率和孔隙大小对混凝土强度的影响。虽然有许多预测强度的经验公式，但在实际应用中出现了很大的偏差。本文采用无量纲模型和分形理论从理论上分析了这些效应，并首次提出了一些物理上相对、数学上可靠的公式。此外，纳米/微颗粒的大小和分布也可以用于混凝土强度的理论预测，表明当颗粒趋向于微/纳米尺度时，会发生边界诱导力。该理论为各种功能混凝土的优化设计提供了新的思路。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Facta Universitatis-Series Mechanical Engineering ENGINEERING, MECHANICAL-

CiteScore

14.40

自引率

2.50%

发文量

审稿时长

6 weeks

期刊介绍： Facta Universitatis, Series: Mechanical Engineering (FU Mech Eng) is an open-access, peer-reviewed international journal published by the University of Niš in the Republic of Serbia. It publishes high-quality, refereed papers three times a year, encompassing original theoretical and/or practice-oriented research as well as extended versions of previously published conference papers. The journal's scope covers the entire spectrum of Mechanical Engineering. Papers undergo rigorous peer review to ensure originality, relevance, and readability, maintaining high publication standards while offering a timely, comprehensive, and balanced review process.